Correct Answer: Option A

Explanation

\(f(x) = mx^{2} - 6x - 3\)

\(f '(x) = \frac{\mathrm d y}{\mathrm d x} = 2mx - 6\)

\(f'(1) = 2m - 6 = 12\)

\(2m = 18 \implies m = 9\)

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